{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pydicom as dicom\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import dipy\n",
    "import nipy\n",
    "from matplotlib.animation import *\n",
    "from sklearn.cluster import KMeans, MeanShift\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation\n",
    "import numpy as np\n",
    "import pydicom as dicom\n",
    "from os import listdir, getcwd\n",
    "from os.path import join\n",
    "from dipy.segment.mask import median_otsu\n",
    "%matplotlib notebook\n",
    "\n",
    "DICOM_ROOT = join(getcwd(), 'dicom')\n",
    "\n",
    "dicoms = []\n",
    "\n",
    "for file_name in listdir(DICOM_ROOT)[:5]:\n",
    "    dicom_file = dicom.read_file(join(DICOM_ROOT, file_name)) \n",
    "    brain = dicom_file.pixel_array\n",
    "    brain, mask = median_otsu(brain, 6, 15)\n",
    "    dicoms.append(brain)\n",
    "\n",
    "# fig, ax = plt.subplots()\n",
    "# img = ax.imshow(dicoms[0], 'gray')\n",
    "\n",
    "# def animate(i):\n",
    "#     img.set_data(dicoms[i])\n",
    "\n",
    "# ani = matplotlib.animation.FuncAnimation(fig, animate, frames=len(dicoms), interval=1000)\n",
    "\n",
    "# from IPython.display import HTML\n",
    "# HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kYsFfPPk5ADLj2JkP+GJ9htI2XPvVd3Dm3/nS1/V5SXz7kQQq8aaw8Z9+iL0H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uxH8WXA4QxO/R6wfn5Af+LRPCUMC49qJfeeCcCBw/aQsL3J2N4J2H/2DDeXKzy+WOD0rX0s3qiw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139c8e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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ELHGhK4ZDQKGWpiN3L5uuzyvVPe59/I32nXhRRzdP7lk2hCavkzd+JF+0poVz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\ngAIARImAAgBE6f8Dw8wZZzpccuAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f6fd3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pylab import rcParams\n",
    "from scipy import stats\n",
    "rcParams['figure.figsize'] = 7, 7\n",
    "\n",
    "from scipy import ndimage\n",
    "\n",
    "brain = ndimage.median_filter(dicoms[0], 3)\n",
    "plt.imshow(brain)\n",
    "plt.show()\n",
    "\n",
    "# brain = cv.adaptiveThreshold(brain, 255, cv.ADAPTIVE_THRESH_GAUSSIAN_C, cv.THRESH_BINARY, 11, 2)\n",
    "# plt.imshow(brain)\n",
    "# plt.show()\n",
    "\n",
    "# brain = cv.normalize(brain, 0, 255, cv.NORM_MINMAX)\n",
    "brain = brain.reshape((-1, 1))\n",
    "\n",
    "kmeans = KMeans(n_clusters=4).fit(brain)\n",
    "print(stats.mode(brain)[0])\n",
    "clustered = kmeans.labels_.reshape((512, 512))\n",
    "plt.imshow(clustered)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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